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20152021
most citedFast inertial dynamics and FISTA algorithms in convex optimization. Perturbation aspects

13 citations · 15 across the 5 of their papers we have counts for

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6 papers · 1 filter

math.OC20211 cited

Fast convergence of dynamical ADMM via time scaling of damped inertial dynamics

Hedy Attouch, Zaki Chbani, Jalal Fadili +1

In this paper, we propose in a Hilbertian setting a second-order time-continuous dynamic system with fast convergence guarantees to solve structured convex minimization problems wi…

math.OC2020

Fast convex optimization via inertial dynamics combining viscous and Hessian-driven damping with time rescaling

Hedy Attouch, Aicha Balhag, Zaki Chbani +1

In a Hilbert setting, we develop fast methods for convex unconstrained optimization. We rely on the asymptotic behavior of an inertial system combining geometric damping with tempo…

math.OC2020

Fast convex optimization via a third-order in time evolution equation: TOGES-V an improved version of TOGES

Hedy Attouch, Zaki Chbani, Hassan Riahi

In a Hilbert space setting H, for convex optimization, we analyze the fast convergence properties as t tends to infinity of the trajectories generated by a third-order in time evol…

math.OC2019

First-order optimization algorithms via inertial systems with Hessian driven damping

Hedy Attouch, Zaki Chbani, Jalal Fadili +1

In a Hilbert space setting, for convex optimization, we analyze the convergence rate of a class of first-order algorithms involving inertial features. They can be interpreted as di…

math.OC20171 cited

Rate of convergence of the Nesterov accelerated gradient method in the subcritical case

Hedy Attouch, Zaki Chbani, Hassan Riahi

In a Hilbert space setting , given a convex continuously differentiable function, and a positive parameter, we consider the inertial s…

math.OC201513 cited

Fast inertial dynamics and FISTA algorithms in convex optimization. Perturbation aspects

H. Attouch, Z. Chbani

In a Hilbert space setting , we study the fast convergence properties as of the trajectories of the second-order differential equation $ \ddot{x}(t) +…